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Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders

Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders

by Kowalenko, Vic
No customer reviews yet ISBN 9780521497985

By considering special exponential series arising in number theory, the authors derive the generalized Euler-Jacobi series, expressed in terms of hypergeometric series. They then employ Dingle's theory of terminants to show how the divergences in both dominant and subdominant series of a complete asymptotic expansion can be tamed. The authors use numerical results to show that a complete asymptotic expansion can be made to agree with exact results for the generalized Euler-Jacobi series to any desired degree of accuracy.

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Pub dateSep 14, 1995
ISBN-100521497981
ISBN-139780521497985
LanguageEnglish
Last updated 2026-09-08 14:54
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